Information on Result #706690
Linear OA(4131, 293, F4, 42) (dual of [293, 162, 43]-code), using construction XX applied to C1 = C([69,109]), C2 = C([68,101]), C3 = C1 + C2 = C([69,101]), and C∩ = C1 ∩ C2 = C([68,109]) based on
- linear OA(4115, 255, F4, 41) (dual of [255, 140, 42]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,109}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(495, 255, F4, 34) (dual of [255, 160, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,101}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4117, 255, F4, 42) (dual of [255, 138, 43]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,109}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(493, 255, F4, 33) (dual of [255, 162, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,101}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(414, 36, F4, 7) (dual of [36, 22, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 37, F4, 7) (dual of [37, 23, 8]-code), using
- linear OA(40, 2, F4, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.